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Finding the Fourth Proportional to 525.08, 724.63 and 301.01

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Solution

The fourth proportional to 525.08, 724.63 and 301.01 is: 415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.08 : 724.63 = 301.01 : x
  2. Step 2: Convert to fraction form
    525.08/724.63 = 301.01/x
  3. Step 3: Cross multiply
    525.08x = 724.63 × 301.01
  4. Step 4: Simplify right side
    525.08x = 218,120.88
  5. Step 5: Solve for x
    x = 218,120.88/525.08
  6. Step 6: Final answer
    x = 415.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.